Diana's shop sold windbreakers and dresses. The windbreakers were sold at $60 each and each dress was sold at
35 of the price of each windbreaker. Diana sold
15 of the items on the first day and collected $2652.
23 of the items sold on the first day were windbreakers.
- How many dresses were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x3 |
4x3 |
5x3 |
Windbreakers |
Dresses |
|
|
2x1 |
1x1 |
|
|
2 u |
1 u |
12 u |
15 u |
The total number of windbreakers and dresses sold is repeated. Make the total number of windbreakers and dresses sold the same. LCM of 3 and 1 is 3.
|
Windbreakers |
Dresses |
Total |
Number |
2 u |
1 u |
3 u |
Value |
$60 |
$36 |
|
Total value |
120 u |
36 u |
156 u |
Cost of each dress
=
35 x 60
= $36
Total amount collected from selling the windbreakers and the dresses on the first day
= 120 u + 36 u
= 156 u
156 u = 2652
1 u = 2652 ÷ 156 = 17
Number of dresses sold on the first day
= 1 u
= 17
(b)
Total number of items left after the first day
= 12 u
= 12 x 17
= 204
Answer(s): (a) 17; (b) 204